Definition 3.1 (Differential privacy [1]}, [2]}) 

For a certain query, a randomizing mechanism \(\mathcal {R}\)  provides \(\epsilon \) -differential privacy (DP) if, for all neighbouringdiffering in exactly one place datasets, \(D\)  and \(D^{\prime }\) , and all \(S \subseteq \)  Range(\(\mathcal {R}\) ), we have
\(\mathbb {P}[\mathcal {R}(D) \in S] \le e^{\epsilon }\,\mathbb {P}[\mathcal {R}(D^{\prime }) \in S]\) 

